Information on Result #672465
Linear OA(269, 131072, F2, 9) (dual of [131072, 131003, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(287, 131090, F2, 11) (dual of [131090, 131003, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(270, 131090, F2, 9) (dual of [131090, 131020, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(287, 131091, F2, 11) (dual of [131091, 131004, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(270, 131091, F2, 9) (dual of [131091, 131021, 10]-code) | [i] | ✔ | |
| 5 | Linear OOA(269, 65536, F2, 2, 9) (dual of [(65536, 2), 131003, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(269, 32768, F2, 4, 9) (dual of [(32768, 4), 131003, 10]-NRT-code) | [i] | ||